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Finding the Fourth Proportional to 245,098.98, 367,963.32 and 188,974.74

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Solution

The fourth proportional to 245,098.98, 367,963.32 and 188,974.74 is: 283,704.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,098.98 : 367,963.32 = 188,974.74 : x
  2. Step 2: Convert to fraction form
    245,098.98/367,963.32 = 188,974.74/x
  3. Step 3: Cross multiply
    245,098.98x = 367,963.32 × 188,974.74
  4. Step 4: Simplify right side
    245,098.98x = 69,535,772,726.54
  5. Step 5: Solve for x
    x = 69,535,772,726.54/245,098.98
  6. Step 6: Final answer
    x = 283,704.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.